<input type="text"
  v-model="search" 
  @click="showResults = true"
  @keyup="emitSearch"
  @blur="onBlur"
/>

<div v-for="speaker in speakers">
  <div v-html="formatHighlighted(speaker.name)" @click="onClickSpeaker(speaker)" />
</div>

<input type="text"
  v-model="search" 
  @click="showResults = true"
  @keyup="emitSearch"
  @blur="onBlur"
/>

<div v-for="speaker in speakers">
  <div v-html="formatHighlighted(speaker.name)" @click="onClickSpeaker(speaker)" />
</div>

onBlur() {
      setTimeout(() => {
        this.showResults = false;
      }, 200)
}

onBlur() {
      setTimeout(() => {
        this.showResults = false;
      }, 200)
}

<div class="entry">
  <div>Starting Time</div>
  <div>Sessions</div>
</div>

.entry {
  position: sticky;
  top: 100px;  
display: flex;
}

<div class="entry">
  <div>Starting Time</div>
  <div>Sessions</div>
</div>

.entry {
  position: sticky;
  top: 100px;  
display: flex;
}